Question

Tickets for 2 adults and 4 children at a theme park cost £152.

An adult ticket costs twice as much as a child ticket.

Write and solve an equation to work out the price of an adult ticket​

Answer 1

Explanation:

2a+4c=152

2c=a

4c+2a=152

2c-a=0

Use simultaneous equation

Substitute 2c=a

c=a divided by 2 in the first equation and find value of a and c

Answer 2

Explanation:

Let x be the price of an adult ticket.

Then 0.5x is the price of a child ticket.

We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.

Hence the price of an adult ticket is £38.